Stabilization of Heegaard splittings

Details Stabilization of Heegaard splittings Stabilization of Heegaard splittings

2008-02-15

arxiv.org/abs/0802.2145v2

Mathematics

Geometric Topology

Scientific paper

For each g greater than one there is a 3-manifold with two genus g Heegaard
splittings that require g stabilizations to become equivalent. Previously known
examples required at most one stabilization. Control of families of Heegaard
surfaces is obtained through a deformation to harmonic maps.

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